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Finding the Fourth Proportional to 8,122.57, 12,200.23 and 4,842.07

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Solution

The fourth proportional to 8,122.57, 12,200.23 and 4,842.07 is: 7,272.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,122.57 : 12,200.23 = 4,842.07 : x
  2. Step 2: Convert to fraction form
    8,122.57/12,200.23 = 4,842.07/x
  3. Step 3: Cross multiply
    8,122.57x = 12,200.23 × 4,842.07
  4. Step 4: Simplify right side
    8,122.57x = 59,074,343.23
  5. Step 5: Solve for x
    x = 59,074,343.23/8,122.57
  6. Step 6: Final answer
    x = 7,272.87

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.